# New N=2 SuperBMS$_3$ algebra and Invariant Dual Theory for 3D Supergravity

## TL;DR

This paper constructs dual two-dimensional theories for 3D asymptotically flat supergravity with two supercharges, identifying their symmetries as known and novel ${
m SuperBMS}_3$ algebras, and discusses their phase space structure.

## Contribution

It introduces new dual models for 3D supergravity with two supercharges, revealing invariant structures under known and new ${
m SuperBMS}_3$ symmetries.

## Key findings

- Dual theories are identified as chiral Wess-Zumino-Witten models.
- The theory without R-symmetry is invariant under known ${
m SuperBMS}_3$.
- The theory with R-symmetry exhibits a new quantum ${
m SuperBMS}_3$ symmetry.

## Abstract

We have constructed a two dimensional theory dual to 3D asymptotically flat Supergravity in presence of two supercharges with(out) internal $R-$symmetry. The duals in both the cases are identified with chiral Wess-Zumino-Witten models. Further gauging the theories, we show that the dual of the one without $R-$symmetry is invariant under the well known ${\cal{N}}=2$ SuperBMS$_3$ introduced in Banerjee et.al. 1609.09210 , while for the one with $R-$symmetry, the dual is invariant under the most generic, so far unknown, quantum ${\cal{N}}=2$ SuperBMS$_3$ symmetry. We have also commented on the phase space description of the duals.